What is the limit as x approaches 4-of (x+4)/(x-4) ?

The limit as x approaches 4-of (x+4)/(x-4) is -infinity

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limit as x approaches 4-of (x+4)/(x-4)

x \to 4 - lim (\frac{x + 4}{x - 4})

- \infty

Solution steps

x \to 4 - lim (\frac{x + 4}{x - 4})

\frac{x + 4}{x - 4} = (x + 4) \frac{1}{x - 4}

= x \to 4 - lim ((x + 4) \frac{1}{x - 4})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 4 - lim (x + 4) \cdot x \to 4 - lim (\frac{1}{x - 4})

x \to 4 - lim (x + 4) = 8

x \to 4 - lim (\frac{1}{x - 4}) = - \infty

= 8 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

\frac{d}{d x} ((6 x - 5)^{4})

x, 2 x

\int cot (40 x) d x

\frac{\partial}{\partial x} (e^{x y} x y)

\frac{d}{d x} (x z + e^{- x^{2} + y})

What is the limit as x approaches 4-of (x+4)/(x-4) ?
The limit as x approaches 4-of (x+4)/(x-4) is -infinity